ACOS Google Sheet Formula
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ACOS Formula Syntax
Example Use Case
Finding the angle (in radians) from a cosine value for trigonometric calculations
Understanding the ACOS Formula
The ACOS function in Excel calculates the arccosine (inverse cosine) of a number, returning an angle in radians between 0 and π. It’s a key trigonometric tool when you have a cosine value and need the corresponding angle, such as in geometry or physics problems involving triangles or wave analysis.
Inputs must range from -1 to 1, matching the cosine function’s domain. For practical use, you might pair it with DEGREES to convert radians to degrees. It’s essentially the reverse of COS, unlocking angles from known ratios—perfect for design or engineering tasks.
Why Use ACOS?
ACOS is crucial for angular computations. Whether you’re determining the slope of a roof or analyzing oscillatory motion, it provides precise angle measurements from cosine data. Its reliability in technical fields makes it a must-know for advanced Excel users.
Example with Sample Data
| Cosine | Formula | Result (radians) |
|---|---|---|
| 0.5 | =ACOS(0.5) | 1.0472 |
| 1 | =ACOS(1) | 0 |
| -1 | =ACOS(-1) | 3.1416 |
The table shows ACOS converting cosines to angles: 0.5 yields ~1.0472 radians (60°), while -1 gives π. It’s a clean solution for trigonometric reversals.
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